{"title":"具有统计相关寿命的两分量串联系统的剩余寿命和不活动时间的一些新的排序结果","authors":"Rui Fang , Xiaohu Li","doi":"10.1016/j.orl.2025.107369","DOIUrl":null,"url":null,"abstract":"<div><div>This study considers two components with statistically dependent lifetimes, and compares the residual lifetime of the series system of them and the lifetime of the series of used components with residual lifetimes. Sufficient and necessary conditions about the usual stochastic order and hazard rate order are developed. The findings reveal that the dependence structure is critical in determining whether the used system is more reliable. The inactivity time is also investigated. Numerical examples are also presented to illustrate the findings.</div></div>","PeriodicalId":54682,"journal":{"name":"Operations Research Letters","volume":"63 ","pages":"Article 107369"},"PeriodicalIF":0.9000,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some new ordering results on residual life and inactivity time of series systems with two components having statistically dependent lifetimes\",\"authors\":\"Rui Fang , Xiaohu Li\",\"doi\":\"10.1016/j.orl.2025.107369\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>This study considers two components with statistically dependent lifetimes, and compares the residual lifetime of the series system of them and the lifetime of the series of used components with residual lifetimes. Sufficient and necessary conditions about the usual stochastic order and hazard rate order are developed. The findings reveal that the dependence structure is critical in determining whether the used system is more reliable. The inactivity time is also investigated. Numerical examples are also presented to illustrate the findings.</div></div>\",\"PeriodicalId\":54682,\"journal\":{\"name\":\"Operations Research Letters\",\"volume\":\"63 \",\"pages\":\"Article 107369\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2025-09-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Operations Research Letters\",\"FirstCategoryId\":\"91\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0167637725001300\",\"RegionNum\":4,\"RegionCategory\":\"管理学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"OPERATIONS RESEARCH & MANAGEMENT SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operations Research Letters","FirstCategoryId":"91","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0167637725001300","RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
Some new ordering results on residual life and inactivity time of series systems with two components having statistically dependent lifetimes
This study considers two components with statistically dependent lifetimes, and compares the residual lifetime of the series system of them and the lifetime of the series of used components with residual lifetimes. Sufficient and necessary conditions about the usual stochastic order and hazard rate order are developed. The findings reveal that the dependence structure is critical in determining whether the used system is more reliable. The inactivity time is also investigated. Numerical examples are also presented to illustrate the findings.
期刊介绍:
Operations Research Letters is committed to the rapid review and fast publication of short articles on all aspects of operations research and analytics. Apart from a limitation to eight journal pages, quality, originality, relevance and clarity are the only criteria for selecting the papers to be published. ORL covers the broad field of optimization, stochastic models and game theory. Specific areas of interest include networks, routing, location, queueing, scheduling, inventory, reliability, and financial engineering. We wish to explore interfaces with other fields such as life sciences and health care, artificial intelligence and machine learning, energy distribution, and computational social sciences and humanities. Our traditional strength is in methodology, including theory, modelling, algorithms and computational studies. We also welcome novel applications and concise literature reviews.